Question

A parallelogram has vertices (5,0), (3, -3), (-4, -3) and (-2, 0) The

diagonals of the parallelogram intersect at their midpoints. A. What are the coordinates of the
intersection of their diagonals? Justify the answer algebraically.

Answer 1

(0.5 , -1.5)

Explanation:

intersection of their diagonals (E): right at the mid-point of segment AC or BD

A (5 , 0) and C (-4 , -3): E (x , y)

x = (5 + -4 ) / 2 = 0.5

y = (0 + -3 ) / 2 = - 1.5

E ( 0.5 , - 1.5)

check with BD: x = (3 + -2) / 2 = 0.5 y = (-3 + 0) / 2 = - 1.5